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Finding the Fourth Proportional to 9,997.64, 13,799.41 and 5,749.16

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Solution

The fourth proportional to 9,997.64, 13,799.41 and 5,749.16 is: 7,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.64 : 13,799.41 = 5,749.16 : x
  2. Step 2: Convert to fraction form
    9,997.64/13,799.41 = 5,749.16/x
  3. Step 3: Cross multiply
    9,997.64x = 13,799.41 × 5,749.16
  4. Step 4: Simplify right side
    9,997.64x = 79,334,987.25
  5. Step 5: Solve for x
    x = 79,334,987.25/9,997.64
  6. Step 6: Final answer
    x = 7,935.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.